378978264 has 320 divisors, whose sum is σ = 1303315200. Its totient is φ = 100590336.

The previous prime is 378978251. The next prime is 378978289. The reversal of 378978264 is 462879873.

378978264 is a `hidden beast` number, since 378 + 9 + 7 + 8 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 378978264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5656359 + ... + 5656425.

It is an arithmetic number, because the mean of its divisors is an integer number (4072860).

Almost surely, 2^378978264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 378978264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651657600).

378978264 is an abundant number, since it is smaller than the sum of its proper divisors (924336936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

378978264 is a wasteful number, since it uses less digits than its factorization.

378978264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 151 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 378978264 is about 19467.3640742654. The cubic root of 378978264 is about 723.6658867590.

The spelling of 378978264 in words is "three hundred seventy-eight million, nine hundred seventy-eight thousand, two hundred sixty-four".